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Título : Mathknow : Mathematics, Applied Sciences and Real Life Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michele Emmer ; Quarteroni, Alfio Editorial: Milano : Springer Milan Fecha de publicación: 2009 Colección: MS&A, ISSN 2037-5255 num. 3 Número de páginas: XI, 264 p Il.: online resource ISBN/ISSN/DL: 978-88-470-1122-9 Idioma : Inglés (eng) Palabras clave: Mathematics Architecture Applied mathematics Engineering Computer Mathematical models Applications of Mathematics, general Modeling and Industrial Computational Numerical Analysis Science Architecture, Clasificación: 51 Matemáticas Resumen: Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences Nota de contenido: The misuse of mathematics -- Mathematics and literature -- Applied partial differential equations: visualization by photography -- The spirit of algebra -- Theory and applications of Raptor codes -- Other geometries in architecture: bubbles, knots and minimal surfaces -- Soft matter: mathematical models of smart materials -- Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing -- Games suggest how to define rational behavior. Surprising aspects of interactive decision theory -- Archaeoastronomy at Giza: the ancient Egyptians’ mathematical astronomy in action -- Mathematics and food: a tasty binomium -- Detecting structural complexity: from visiometrics to genomics and brain research -- Recreative mathematics: soldiers, eggs and a pirate crew -- Mathematical magic and society -- Little Tom Thumb among cells: seeking the cues of life -- Adam’s Pears -- Mathematics enters the picture -- Multi-physics models for bio-hybrid device simulation -- Stress detection: a sonic approach -- Vulnerability to climate change: mathematics as a language to clarify concepts En línea: http://dx.doi.org/10.1007/978-88-470-1122-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34128 Mathknow : Mathematics, Applied Sciences and Real Life [documento electrónico] / SpringerLink (Online service) ; Michele Emmer ; Quarteroni, Alfio . - Milano : Springer Milan, 2009 . - XI, 264 p : online resource. - (MS&A, ISSN 2037-5255; 3) .
ISBN : 978-88-470-1122-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Architecture Applied mathematics Engineering Computer Mathematical models Applications of Mathematics, general Modeling and Industrial Computational Numerical Analysis Science Architecture, Clasificación: 51 Matemáticas Resumen: Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences Nota de contenido: The misuse of mathematics -- Mathematics and literature -- Applied partial differential equations: visualization by photography -- The spirit of algebra -- Theory and applications of Raptor codes -- Other geometries in architecture: bubbles, knots and minimal surfaces -- Soft matter: mathematical models of smart materials -- Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing -- Games suggest how to define rational behavior. Surprising aspects of interactive decision theory -- Archaeoastronomy at Giza: the ancient Egyptians’ mathematical astronomy in action -- Mathematics and food: a tasty binomium -- Detecting structural complexity: from visiometrics to genomics and brain research -- Recreative mathematics: soldiers, eggs and a pirate crew -- Mathematical magic and society -- Little Tom Thumb among cells: seeking the cues of life -- Adam’s Pears -- Mathematics enters the picture -- Multi-physics models for bio-hybrid device simulation -- Stress detection: a sonic approach -- Vulnerability to climate change: mathematics as a language to clarify concepts En línea: http://dx.doi.org/10.1007/978-88-470-1122-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34128 Ejemplares
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Título : Mathematics and Culture II : Visual Perfection: Mathematics and Creativity Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michele Emmer Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Número de páginas: X, 203 p Il.: online resource ISBN/ISSN/DL: 978-3-540-26443-9 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Visualization History Applications of Mathematics, general Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Creativity plays an important role in all human activities, from the visual arts to cinema and theatre, and in particular in science and mathematics . This volume, published only in English in the series "Mathematics and Culture", stresses the strong links between mathematics, culture and creativity in architecture, contemporary art, geometry, computer graphics, literature, theatre and cinema. So this book is designed not only for mathematicians but for all the people who have an interest in the various aspects of culture, both scientific and literary, with a special emphasis on the visual aspects Nota de contenido: Mathematics, Art and Architecture -- Mathematics, Art and Architecture -- From Tiling the Plane to Paving Town Square -- Mathematics in Contemporary Arts — Finite and Infinity -- De Insana Geometria -- Ovals in Borromini’s Geometry -- Fractals: A Resonance between Art and Nature -- Mathland — From Topology to Virtual Architecture -- Visual Mathematics and Computer Graphics -- Introduction: Visual Mathematics and Computer Graphics -- Math Awareness Month 2000: An Interactive Experience -- Visual Topology and Variational Problems on Two-Dimensional Surfaces -- Metarealistic Rendering of Real-time Interactive Computer Animations -- Virtual Sculptures -- Publication of Electronic Geometry Models -- Trees, Roots and a Brain: A Metaphorical Foundation for Mathematical Art -- Mathematics, Literature and Cinema -- Mathematics, Literature and Cinema -- Euclid’s Poetics: An examination of the similarity between narrative and proof -- The Rise of Narrative Non-Fiction -- Mathematics Takes Center Stage -- Mathematics and Raymond Queneau En línea: http://dx.doi.org/10.1007/b137592 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35238 Mathematics and Culture II : Visual Perfection: Mathematics and Creativity [documento electrónico] / SpringerLink (Online service) ; Michele Emmer . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - X, 203 p : online resource.
ISBN : 978-3-540-26443-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Visualization History Applications of Mathematics, general Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Creativity plays an important role in all human activities, from the visual arts to cinema and theatre, and in particular in science and mathematics . This volume, published only in English in the series "Mathematics and Culture", stresses the strong links between mathematics, culture and creativity in architecture, contemporary art, geometry, computer graphics, literature, theatre and cinema. So this book is designed not only for mathematicians but for all the people who have an interest in the various aspects of culture, both scientific and literary, with a special emphasis on the visual aspects Nota de contenido: Mathematics, Art and Architecture -- Mathematics, Art and Architecture -- From Tiling the Plane to Paving Town Square -- Mathematics in Contemporary Arts — Finite and Infinity -- De Insana Geometria -- Ovals in Borromini’s Geometry -- Fractals: A Resonance between Art and Nature -- Mathland — From Topology to Virtual Architecture -- Visual Mathematics and Computer Graphics -- Introduction: Visual Mathematics and Computer Graphics -- Math Awareness Month 2000: An Interactive Experience -- Visual Topology and Variational Problems on Two-Dimensional Surfaces -- Metarealistic Rendering of Real-time Interactive Computer Animations -- Virtual Sculptures -- Publication of Electronic Geometry Models -- Trees, Roots and a Brain: A Metaphorical Foundation for Mathematical Art -- Mathematics, Literature and Cinema -- Mathematics, Literature and Cinema -- Euclid’s Poetics: An examination of the similarity between narrative and proof -- The Rise of Narrative Non-Fiction -- Mathematics Takes Center Stage -- Mathematics and Raymond Queneau En línea: http://dx.doi.org/10.1007/b137592 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35238 Ejemplares
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Título : 18 Unconventional Essays on the Nature of Mathematics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Reuben Hersh Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Número de páginas: XXII, 326 p. 10 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-29831-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical logic Mathematics, general Logic and Foundations Clasificación: 51 Matemáticas Resumen: Advance praise for 18 Unconventional Essays on the Nature of Mathematics: "I was pleasantly surprised to find that this book does not treat mathematics as dessicated formal logic but as a living organism, immediately recognizable to any working mathematician." - Sir Michael Atiyah, University of Edinburgh "A wonderful collection of essays on the philosophy of mathematics, some by mathematicians, others by philosophers, and all having significant things to say. Most readers will be informed, some will be infuriated, but all will be stimulated." - John H. Conway, John von Neumann Distinguished Professor of Mathematics, Princeton University This startling new collection of essays edited by Reuben Hersh contains frank facts and opinions from leading mathematicians, philosophers, sociologists, cognitive scientists, and even an anthropologist. Each essay provides a challenging and thought-provoking look at recent advances in the philosophy of mathematics, demonstrating the possibilities of thinking fresh, sticking close to actual practice, and fearlessly letting go of standard shibboleths. The following essays are included: * Alfred Renyi: Socratic Dialogue * Carlo Cellucci: Filosofia e Matematica, introduction * William Thurston: On Proof and Progress in Mathematics * Andrew Aberdein: The Informal Logic of Mathematical Proof * Yehuda Rav: Philosophical Problems of Mathematics in Light of Evolutionary Epistemology * Brian Rotman: Towards a Semiotics of Mathematics * Donald Mackenzie: Computers and the Sociology of Mathematical Proof * Terry Stanway: From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management * Rafael Nunez: Do Numbers Really Move? * Timothy Gowers: Does Mathematics Need a Philosophy? * Jody Azzouni: How and Why Mathematics is a Social Practice * Gian-Carlo Rota: The Pernicious Influence of Mathematics Upon Philosophy * Jack Schwartz: The Pernicious Influence of Mathematics on Science * Alfonso Avila del Palacio: What is Philosophy of Mathematics Looking For? * Andrew Pickering: Concepts and the Mangle of Practice: Constructing Quaternions * Eduard Glas: Mathematics as Objective Knowledge and as Human Practice * Leslie White: The Locus of Mathematical Reality: An Anthropological Footnote * Reuben Hersh: Inner Vision, Outer Truth Nota de contenido: A Socratic Dialogue on Mathematics -- “Introduction” to Filosofia e matematica -- On Proof and Progress in Mathematics -- The Informal Logic of Mathematical Proof -- Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology -- Towards a Semiotics of Mathematics -- Computers and the Sociology of Mathematical Proof -- From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management -- Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics -- Does Mathematics Need a Philosophy? -- How and Why Mathematics Is Unique as a Social Practice -- The Pernicious Influence of Mathematics upon Philosophy -- The Pernicious Influence of Mathematics on Science -- What Is Philosophy of Mathematics Looking for? -- Concepts and the Mangle of Practice Constructing Quaternions -- Mathematics as Objective Knowledge and as Human Practice -- The Locus of Mathematical Reality: An Anthropological Footnote -- Inner Vision, Outer Truth En línea: http://dx.doi.org/10.1007/0-387-29831-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34764 18 Unconventional Essays on the Nature of Mathematics [documento electrónico] / SpringerLink (Online service) ; Reuben Hersh . - New York, NY : Springer New York, 2006 . - XXII, 326 p. 10 illus : online resource.
ISBN : 978-0-387-29831-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical logic Mathematics, general Logic and Foundations Clasificación: 51 Matemáticas Resumen: Advance praise for 18 Unconventional Essays on the Nature of Mathematics: "I was pleasantly surprised to find that this book does not treat mathematics as dessicated formal logic but as a living organism, immediately recognizable to any working mathematician." - Sir Michael Atiyah, University of Edinburgh "A wonderful collection of essays on the philosophy of mathematics, some by mathematicians, others by philosophers, and all having significant things to say. Most readers will be informed, some will be infuriated, but all will be stimulated." - John H. Conway, John von Neumann Distinguished Professor of Mathematics, Princeton University This startling new collection of essays edited by Reuben Hersh contains frank facts and opinions from leading mathematicians, philosophers, sociologists, cognitive scientists, and even an anthropologist. Each essay provides a challenging and thought-provoking look at recent advances in the philosophy of mathematics, demonstrating the possibilities of thinking fresh, sticking close to actual practice, and fearlessly letting go of standard shibboleths. The following essays are included: * Alfred Renyi: Socratic Dialogue * Carlo Cellucci: Filosofia e Matematica, introduction * William Thurston: On Proof and Progress in Mathematics * Andrew Aberdein: The Informal Logic of Mathematical Proof * Yehuda Rav: Philosophical Problems of Mathematics in Light of Evolutionary Epistemology * Brian Rotman: Towards a Semiotics of Mathematics * Donald Mackenzie: Computers and the Sociology of Mathematical Proof * Terry Stanway: From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management * Rafael Nunez: Do Numbers Really Move? * Timothy Gowers: Does Mathematics Need a Philosophy? * Jody Azzouni: How and Why Mathematics is a Social Practice * Gian-Carlo Rota: The Pernicious Influence of Mathematics Upon Philosophy * Jack Schwartz: The Pernicious Influence of Mathematics on Science * Alfonso Avila del Palacio: What is Philosophy of Mathematics Looking For? * Andrew Pickering: Concepts and the Mangle of Practice: Constructing Quaternions * Eduard Glas: Mathematics as Objective Knowledge and as Human Practice * Leslie White: The Locus of Mathematical Reality: An Anthropological Footnote * Reuben Hersh: Inner Vision, Outer Truth Nota de contenido: A Socratic Dialogue on Mathematics -- “Introduction” to Filosofia e matematica -- On Proof and Progress in Mathematics -- The Informal Logic of Mathematical Proof -- Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology -- Towards a Semiotics of Mathematics -- Computers and the Sociology of Mathematical Proof -- From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management -- Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics -- Does Mathematics Need a Philosophy? -- How and Why Mathematics Is Unique as a Social Practice -- The Pernicious Influence of Mathematics upon Philosophy -- The Pernicious Influence of Mathematics on Science -- What Is Philosophy of Mathematics Looking for? -- Concepts and the Mangle of Practice Constructing Quaternions -- Mathematics as Objective Knowledge and as Human Practice -- The Locus of Mathematical Reality: An Anthropological Footnote -- Inner Vision, Outer Truth En línea: http://dx.doi.org/10.1007/0-387-29831-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34764 Ejemplares
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Título : An Invitation to Abstract Mathematics Tipo de documento: documento electrónico Autores: Béla Bajnok ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XIV, 406 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-6636-9 Idioma : Inglés (eng) Palabras clave: Mathematics History Mathematical logic Mathematics, general of Sciences Logic and Foundations Clasificación: 51 Matemáticas Resumen: This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians. Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects Nota de contenido: Preface to Instructors -- Preface to Students -- Acknowledgments -- I What's Mathematics -- 1 Let's Play a Game! -- 2 What's the Name of the Game? -- 3 How to Make a Statement?- 4 What's True in Mathematics? -- 5 Famous Classical Theorems -- 6 Recent Progress in Mathematics -- II How to Solve It? -- 7 Let's be Logical! -- 8 Setting Examples -- 9 Quantifier Mechanics -- 10 Mathematical Structures -- 11 Working in the Fields (and Other Structures) -- 12 Universal Proofs -- 13 The Domino Effect -- 14 More Domino Games -- 15 Existential Proofs -- 16 A Cornucopia of Famous Problems -- III Advanced Math for Beginners -- 17 Good Relations -- 18 Order, Please! -- 19 Let's be Functional! -- 20 Now That's the Limit! -- 21 Sizing It Up -- 22 Infinite Delights -- 23 Number Systems Systematically -- 24 Games Are Valuable! -- IV. Appendices -- A. Famous Conjectures in Mathematics -- B The Foundations of Set Theory -- C All Games Considered -- D Top 40 List of Math Theorems. - Index En línea: http://dx.doi.org/10.1007/978-1-4614-6636-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32311 An Invitation to Abstract Mathematics [documento electrónico] / Béla Bajnok ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIV, 406 p : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-1-4614-6636-9
Idioma : Inglés (eng)
Palabras clave: Mathematics History Mathematical logic Mathematics, general of Sciences Logic and Foundations Clasificación: 51 Matemáticas Resumen: This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians. Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects Nota de contenido: Preface to Instructors -- Preface to Students -- Acknowledgments -- I What's Mathematics -- 1 Let's Play a Game! -- 2 What's the Name of the Game? -- 3 How to Make a Statement?- 4 What's True in Mathematics? -- 5 Famous Classical Theorems -- 6 Recent Progress in Mathematics -- II How to Solve It? -- 7 Let's be Logical! -- 8 Setting Examples -- 9 Quantifier Mechanics -- 10 Mathematical Structures -- 11 Working in the Fields (and Other Structures) -- 12 Universal Proofs -- 13 The Domino Effect -- 14 More Domino Games -- 15 Existential Proofs -- 16 A Cornucopia of Famous Problems -- III Advanced Math for Beginners -- 17 Good Relations -- 18 Order, Please! -- 19 Let's be Functional! -- 20 Now That's the Limit! -- 21 Sizing It Up -- 22 Infinite Delights -- 23 Number Systems Systematically -- 24 Games Are Valuable! -- IV. Appendices -- A. Famous Conjectures in Mathematics -- B The Foundations of Set Theory -- C All Games Considered -- D Top 40 List of Math Theorems. - Index En línea: http://dx.doi.org/10.1007/978-1-4614-6636-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32311 Ejemplares
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Título : An Invitation to Mathematics : From Competitions to Research Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Schleicher, Dierk ; Malte Lackmann Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Número de páginas: XIV, 220 p. 56 illus., 31 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-19533-4 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematics, general Clasificación: 51 Matemáticas Resumen: This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, that introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership Nota de contenido: Preface: What is Mathematics? -- Welcome -- Structure and Randomness in the Prime Numbers -- How to Solve a Diophantine Equation -- From Sex to Quadratic Forms -- Small Divisors: Number Theory in Dynamical Systems -- How do IMO Problems Compare with Research Problems? -- How do Research Problems Compare with IMO Problems? -- Graph Theory Over 45 Years -- Communication Complexity -- Ten Digit Problems -- The Ever-Elusive Blowup in the Mathematical Description of Fluids -- About the Hardy Inequality -- The Lion and the Christian, and Other Pursuit and Evasion Games -- Three Mathematics Competitions -- Complex Dynamics, the Mandelbrot Set, and Newton´s Method En línea: http://dx.doi.org/10.1007/978-3-642-19533-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33416 An Invitation to Mathematics : From Competitions to Research [documento electrónico] / SpringerLink (Online service) ; Schleicher, Dierk ; Malte Lackmann . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - XIV, 220 p. 56 illus., 31 illus. in color : online resource.
ISBN : 978-3-642-19533-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematics, general Clasificación: 51 Matemáticas Resumen: This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, that introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership Nota de contenido: Preface: What is Mathematics? -- Welcome -- Structure and Randomness in the Prime Numbers -- How to Solve a Diophantine Equation -- From Sex to Quadratic Forms -- Small Divisors: Number Theory in Dynamical Systems -- How do IMO Problems Compare with Research Problems? -- How do Research Problems Compare with IMO Problems? -- Graph Theory Over 45 Years -- Communication Complexity -- Ten Digit Problems -- The Ever-Elusive Blowup in the Mathematical Description of Fluids -- About the Hardy Inequality -- The Lion and the Christian, and Other Pursuit and Evasion Games -- Three Mathematics Competitions -- Complex Dynamics, the Mandelbrot Set, and Newton´s Method En línea: http://dx.doi.org/10.1007/978-3-642-19533-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33416 Ejemplares
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